NOt really though.
I have a scratch on my arm from a cat. It's visible, but, it in no way indicates anything about my condition. And that's, at most, what HP loss is. A couple of bruises. Maybe a fat lip? At least until that attack kills the PC, THEN that's a visible wound.
Otherwise, it makes no sense. If those minor physical injuries actually gave some guidance as to what condition the foe is in, then those physical injuries would impact the foe in some way. But they don't. They never have. Not in D&D anyway. I can't believe after all the years of this being shown over and over again, people still want to insist that HP=some sort of meat. They don't. Heck, in 5e, until you lose 50% of your HP, you do not have so much as a scratch on you, and that's straight from the rules.
Never minding things like short rests, where I can rest for an hour, and be restored to full HP, all without a single spell. What, do those physical injuries seal up and go away in an hour?
People keep trying to force narrative onto the mechanics that just isn't supported.